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Finding the Third Proportional to 47,621.88 and 101,804.63

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Solution

The third proportional to 47,621.88 and 101,804.63 is: 217,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,621.88 : 101,804.63 = 101,804.63 : x
  2. Step 2: Convert to fraction form
    47,621.88/101,804.63 = 101,804.63/x
  3. Step 3: Cross multiply
    47,621.88x = 101,804.63 × 101,804.63
  4. Step 4: Simplify right side
    47,621.88x = 10,364,181,671.39
  5. Step 5: Solve for x
    x = 10,364,181,671.39/47,621.88
  6. Step 6: Final answer
    x = 217,634.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.